List of top Questions asked in JEE Main

A vernier caliper having least count \(\frac{1}{20N}\)cm and one main scale division is 1 mm, then value of one vernier scale division is

A screw gauge with a pitch of 1 mm and a circular scale with 100 divisions is used to measure the thickness of the aluminium sheet. Negative zero error of 0.05 mm is there. What is the thickness of the sheet when main scale reading is 4 mm and 60th division coincides with the main scale line

Consider the given reaction:
Cr₂O₇^2- ⥨ CrO₄^2-
Above reaction shifts in forward direction in

If de- Broglie wavelength of electron is equal to de- Broglie wavelength of proton, then what is the relation between their kinetic energy

Select the correct options:
Statement 1: Benzene sulphonyl chloride reacts with 1°, 2° and 3° amines.
Statement 2: All products of the reaction above are soluble in NaOH.

Consider the following compound:

What is the IUPAC nomenclature of the compound?

The total number of compounds having Bond order 2 among the following are: F₂, N₂, Ne₂, O₂, Li₂, Be₂, C₂

Which of the following are aromatic compounds?

Which of the following is correct?

Assertion: Kjeldahl method is not used for pyridine.
Reason: Nitrogen of pyridine does not change to ammonium sulphate under these conditions.

S-I: Blood is a buffer solution, whose pH is maintained at 7.4 by an acidic buffer. 
S-II: pH is maintained by HCO₃^-  and   H₂CO₃

In the test for phosphorus using ammonium molybdate, yellow precipitate of compound (X) is obtained. What is the oxidation state of molybdenum in (X)?

How many carbon atoms are there in a molecule of tyrosine?

Number of 5 letters words made from the word “MATHEMATICS” is equal to

,Then the sum of elements of 10th row.

Two points (5, 2) and (2, a). Line passes through these points makes an angle of π/4 at origin. The product of all values of a is equal to

A circle x² + y² = 8 and a parabola y² = 2x are given. Find area bounded by these two curves in first quadrant which lie inside the circle and outside the parabola.

Bag X contains five one-rupee coins, four five rupee coins. Bag Y contains 4 one rupee and 5 five rupees. Bag Z contains 3 one-rupee coins and 6 five rupee coins. If 1 rupee coin is selected at random, what is the probability it is drawn from bag Y?

A triangle is drawn inside a bounded region of y² = 2x and x = 24. Then maximum area of triangle is

A ray of light coming from (3, 1) incident on 2x + y = 6 and deflected ray passing through (7, 2). If equation of incident ray is ax + by + 1 = 0, then a² + b² + 3ab =

If |x + 1||x + 3| – 4|x + 2| + 5 = 0, then sum of squares of solutions is

If solution of differential equation xdy - ydx = xy(xdy - ydx) and y(1) = 1 is α|y| = |x|e^{(xy - β)} then (α + β) is equal to

If the complex number (1 + 2i cosθ) / (1 - 3i cosθ) is purely imaginary, then find the number of values of θ in the interval [-2π, 2π].

Given \(f(x) =   \begin{cases}     \frac{tan((a+1)x)+tanx\cdot b}{x}       & \quad x\lt 0\\     3  & \quad x=0\\ \frac{\sqrt{ax+b^2x^2}-\sqrt{ax}}{\sqrt{a}bx\sqrt{x}}  & \quad x\gt 0\end{cases}\) It is a continuous function at x=0, then find \(\frac{b}{a}\)

Molecular orbital σ* represents: